Question

question 4 of 10 what is the value of h in the figure below? in this diagram, △bad ~ △cbd.

Explanation:

Step1: Use similarity of triangles

Since $\triangle BAD\sim\triangle CBD$, we have $\frac{h}{16}=\frac{9}{h}$ (as $AD = 25 - 16=9$).

Step2: Cross - multiply

$h^{2}=9\times16$.

Step3: Solve for h

$h = \sqrt{9\times16}=12$.

Answer:

C. 12